Metrics for The quadratic formula (r1)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze148.0ms (1.3%)

Memory

16.8MiB live, 328.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
48.3%	45.2%	48.4%	0.1%	0%	6.2%	0%	8
53%	48.4%	42.9%	0.1%	0%	8.6%	0%	9
58.1%	50.3%	36.3%	0.1%	0%	13.3%	0%	10
66.1%	56.8%	29.1%	0.1%	0%	14%	0%	11
70.4%	58.8%	24.7%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.0s (17.2%)

Memory

50.7MiB live, 2 871.8MiB allocated

Samples

762.0ms	5 613×	0	valid
261.0ms	1 180×	2	valid
257.0ms	1 321×	1	valid
117.0ms	954×	0	invalid
33.0ms	142×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 895.0ms

ival-mult: 330.0ms (36.9% of total)

ival-add: 122.0ms (13.6% of total)

ival-sqrt: 114.0ms (12.7% of total)

adjust: 96.0ms (10.7% of total)

ival-div: 89.0ms (9.9% of total)

ival-neg: 66.0ms (7.4% of total)

ival-sub: 61.0ms (6.8% of total)

exact: 8.0ms (0.9% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain175.0ms (1.5%)

Memory

11.2MiB live, 411.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
101	-	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
61	-	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
19	-	-	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
3	-	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	-	-	`a`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	-	-	`(*.f64 b b)`
0	-	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	-	`c`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(neg.f64 b)`
0	-	-	`(*.f64 #s(literal 4 binary64) a)`
0	-	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	oflow-rescue	95	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	95
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	19
↳	`(*.f64 b b)`	overflow	84
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	61	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`	u/n	19	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	6
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	28
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	30
↳	`(*.f64 b b)`	underflow	46
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	6	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	6
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	30
↳	`(*.f64 b b)`	underflow	46
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	nan-rescue	3	0
↳	`(*.f64 b b)`	overflow	84
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	19

Confusion

	Predicted +	Predicted -
+	133	0
-	12	111

Precision

0.9172413793103448

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	12	0	111

Precision?

0.9172413793103448

Recall?

1.0

Freqs

test

number	freq
0	111
1	108
2	35
3	2

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

35.0ms	338×	0	valid
21.0ms	96×	2	valid
11.0ms	72×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 164 to 46 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 12.0ms (28.4% of total)

ival-sqrt: 9.0ms (21.3% of total)

ival-div: 5.0ms (11.8% of total)

adjust: 5.0ms (11.8% of total)

ival-sub: 4.0ms (9.5% of total)

ival-add: 4.0ms (9.5% of total)

ival-neg: 2.0ms (4.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess142.0ms (1.2%)

Memory

26.3MiB live, 145.4MiB allocated

Algorithm

1×	egg-herbie

Rules

1 548×	`div-sub`
1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
1 004×	`sub-neg`
744×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	158
1	162	144
2	463	144
3	1233	144
4	3210	144
5	6057	144
0	14	17
0	23	17
1	40	16
2	77	16
3	160	16
4	240	16
5	381	16
6	662	16
7	1129	16
8	2243	16
9	2519	16
10	2629	16
11	2684	16
12	2685	16
13	2685	16
14	2691	16
0	2691	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Outputs

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))

(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))

Compiler

Compiled 20 to 14 computations (30% saved)

eval1.0ms (0%)

Memory: -38.5MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.1%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify125.0ms (1.1%)

Memory

23.2MiB live, 103.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))

Rules

1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
744×	`lower-*.f32`
736×	`lower-*.f64`
440×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	23	70
1	40	68
2	77	68
3	160	68
4	240	68
5	381	68
6	662	68
7	1129	68
8	2243	68
9	2519	68
10	2629	68
11	2684	68
12	2685	68
13	2685	68
14	2691	68
0	2691	64

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(.f64 (.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(*.f64 b b)
(.f64 (.f64 #s(literal 4 binary64) a) c)
(.f64 #s(literal 4 binary64) (.f64 a c))
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

localize91.0ms (0.8%)

Memory

-6.6MiB live, 108.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.6015625000000001	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy	4.633992909355861	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
accuracy	13.93209257837525	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	23.627297141822144	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

15.0ms	169×	0	valid
10.0ms	48×	2	valid
7.0ms	36×	1	valid
1.0ms	3×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 6.0ms (28.4% of total)

ival-div: 4.0ms (18.9% of total)

ival-sqrt: 3.0ms (14.2% of total)

ival-sub: 2.0ms (9.5% of total)

adjust: 2.0ms (9.5% of total)

ival-add: 2.0ms (9.5% of total)

ival-neg: 1.0ms (4.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory

16.5MiB live, 56.5MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())

Outputs
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 b) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	b	@	inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	c	@	inf	(sqrt (- (* b b) (* (* 4 a) c)))
1.0ms	b	@	0	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	b	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify426.0ms (3.7%)

Memory

0.2MiB live, 667.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 458×	`lower-fma.f64`
11 458×	`lower-fma.f32`
7 766×	`lower-*.f64`
7 766×	`lower-*.f32`
2 546×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3273
1	1738	3232
2	6083	3204
0	8243	3047

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

Inputs
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))

Outputs
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(* -2 (/ (* a c) b))
(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (*.f64 a c))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 b b) (.f64 b b))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (*.f64 a c)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 a c)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(.f64 b (neg.f64 (fma.f64 (.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 2 binary64))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 2 binary64)) (neg.f64 b))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(.f64 b (neg.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64)))))
(* -2 (/ (* a c) b))
(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (.f64 a #s(literal -4 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b (neg.f64 a))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (neg.f64 a)))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(.f64 a (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (neg.f64 a))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 b a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))) a) b) a)) (neg.f64 a))
(* -2 (/ (* a c) b))
(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 a c) (.f64 b (*.f64 b b))) (/.f64 a b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(.f64 c (fma.f64 c (fma.f64 (/.f64 (.f64 a (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (.f64 c #s(literal -4 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b (neg.f64 c))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 b (neg.f64 c)))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(.f64 c (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 b (neg.f64 c))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 b c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (.f64 c (-.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) #s(literal -1/64 binary64)))) c) b) c)) (neg.f64 c))
(* -4 (* a c))
(.f64 a (.f64 c #s(literal -4 binary64)))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(* -4 (* a c))
(.f64 a (.f64 c #s(literal -4 binary64)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* -4 (* a c))
(.f64 a (.f64 c #s(literal -4 binary64)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
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(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (.f64 a #s(literal -4 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (.f64 #s(literal -2 binary64) (/.f64 c b))) b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(.f64 a (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) (neg.f64 a))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 a c) (.f64 b (.f64 b b))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (.f64 a (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (.f64 c #s(literal -4 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (.f64 a #s(literal -2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(.f64 c (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(neg.f64 (.f64 c (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(neg.f64 (.f64 c (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64))))))))

rewrite591.0ms (5.1%)

Memory

-25.3MiB live, 493.5MiB allocated

Rules

4 850×	`lower-fma.f64`
4 850×	`lower-fma.f32`
3 904×	`lower-*.f32`
3 896×	`lower-*.f64`
2 332×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	76	49
2	536	48
3	6864	48
0	8158	44

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

5 → 440

Calls

Call 1

Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Outputs
(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(+.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(+.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 0 binary64)) b)
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) b)
(-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(-.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c)))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))) b)
(fma.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
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(/.f64 (.f64 b (.f64 b b)) (*.f64 b b))
(/.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 b (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))
(pow.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal -1 binary64))
(.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b))
(.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(*.f64 #s(literal 1 binary64) b)
(*.f64 #s(literal -1 binary64) b)
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #s(literal 0 binary64))
(/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (.f64 a c)))) (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (*.f64 b b)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))))
(/.f64 (sqrt.f64 (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) (.f64 #s(literal 64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c))))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (fma.f64 b b (.f64 a (*.f64 #s(literal 4 binary64) c)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))))
(/.f64 (fma.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 0 binary64)) (+.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 0 binary64)))
(pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (.f64 a c))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (.f64 a c)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (.f64 a c))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (.f64 a c))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (*.f64 #s(literal 4 binary64) c))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal 4 binary64) c))))))
(.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))

eval86.0ms (0.7%)

Memory: 6.4MiB live, 186.6MiB allocated
Compiler: Compiled 22 484 to 2 082 computations (90.7% saved)

prune137.0ms (1.2%)

Memory

-13.4MiB live, 305.9MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	577	16	593
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	578	16	594

Accuracy

93.4%

Counts

594 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.1%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
	26.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
	31.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
	49.6%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
	24.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
	33.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
	11.0%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (.f64 #s(literal 2 binary64) a))
▶	25.9%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
▶	31.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
	31.8%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a))
	21.9%	(.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))))
▶	50.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
	33.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
	36.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
▶	34.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	30.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)))

Compiler

Compiled 614 to 394 computations (35.8% saved)

simplify271.0ms (2.3%)

Memory

6.1MiB live, 360.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 a (.f64 #s(literal 4 binary64) c))
cost-diff	0	(fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))
cost-diff	0	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
cost-diff	192	(fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))
cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
cost-diff	0	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
cost-diff	0	(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
cost-diff	512	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
cost-diff	0	(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
cost-diff	0	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)))
cost-diff	0	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
cost-diff	128	(*.f64 #s(literal 2 binary64) a)
cost-diff	0	(neg.f64 a)
cost-diff	0	(/.f64 b (neg.f64 a))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
cost-diff	0	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
cost-diff	128	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))

Rules

5 244×	`lower-fma.f32`
5 238×	`lower-fma.f64`
2 334×	`lower-*.f32`
2 316×	`lower-*.f64`
1 736×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	335
0	67	335
1	123	329
2	247	329
3	425	329
4	683	329
5	1113	329
6	1896	329
7	3381	329
8	4871	329
9	5869	329
10	6821	329
11	7168	329
12	7188	329
13	7202	329
0	8105	327

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
b
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
(/.f64 b (neg.f64 a))
b
(neg.f64 a)
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)))
(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
c
(/.f64 (*.f64 a #s(literal -2 binary64)) b)
(*.f64 a #s(literal -2 binary64))
a
#s(literal -2 binary64)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
#s(literal 1/2 binary64)
(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
a
(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
b
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
(/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
(fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))
b
(fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))
(.f64 a (.f64 #s(literal 4 binary64) c))
a
(*.f64 #s(literal 4 binary64) c)
#s(literal 4 binary64)
c
(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))
(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)

Outputs
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (+.f64 a a))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
b
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
(/.f64 b (neg.f64 a))
b
(neg.f64 a)
a
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)) (+.f64 a a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b))
(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
c
(/.f64 (*.f64 a #s(literal -2 binary64)) b)
(/.f64 (-.f64 (neg.f64 a) a) b)
(*.f64 a #s(literal -2 binary64))
(-.f64 (neg.f64 a) a)
a
#s(literal -2 binary64)
b
(*.f64 #s(literal 2 binary64) a)
(+.f64 a a)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (+.f64 a a))
#s(literal 1/2 binary64)
(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
a
(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
b
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
(/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
(/.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b (+.f64 b b))) (neg.f64 (.f64 (+.f64 a a) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))
(fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b (+.f64 b b)))
b
(fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))
(fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))
(.f64 a (.f64 #s(literal 4 binary64) c))
(.f64 a (.f64 c #s(literal 4 binary64)))
a
(*.f64 #s(literal 4 binary64) c)
(*.f64 c #s(literal 4 binary64))
#s(literal 4 binary64)
c
(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))
(neg.f64 (.f64 (+.f64 a a) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 a #s(literal -2 binary64))
(-.f64 (neg.f64 a) a)
#s(literal -2 binary64)

localize188.0ms (1.6%)

Memory

-3.4MiB live, 290.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.7538979928166807	(fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))
accuracy	13.849305233413164	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
accuracy	17.47538495493795	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
accuracy	23.627297141822122	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
accuracy	0.24567695910492407	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
accuracy	2.12046371422281	(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
accuracy	13.849305233413164	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
accuracy	23.627297141822122	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
accuracy	0	(*.f64 #s(literal 2 binary64) a)
accuracy	4.633992909355861	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
accuracy	5.576486281903076	(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
accuracy	40.6300163992238	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)))
accuracy	0	(/.f64 b (neg.f64 a))
accuracy	0	(neg.f64 a)
accuracy	42.06011773953844	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
accuracy	0.00390625	(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
accuracy	4.782430409355861	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
accuracy	13.93209257837525	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
accuracy	23.627297141822122	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))

Samples

51.0ms	80×	2	valid
36.0ms	79×	1	valid
26.0ms	88×	0	valid
6.0ms	9×	3	valid

Compiler

Compiled 335 to 41 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 23.0ms (31.6% of total)

ival-div: 15.0ms (20.6% of total)

adjust: 13.0ms (17.9% of total)

ival-add: 8.0ms (11% of total)

ival-sqrt: 7.0ms (9.6% of total)

ival-sub: 4.0ms (5.5% of total)

ival-neg: 2.0ms (2.7% of total)

exact: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series82.0ms (0.7%)

Memory

4.3MiB live, 120.1MiB allocated

Counts

19 → 588

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) a) (patch (/.f64 #s(literal -1/2 binary64) a) #<representation binary64>) () ())
#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (patch (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #<representation binary64>) () ())
#s(alt (/.f64 b (neg.f64 a)) (patch (/.f64 b (neg.f64 a)) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) a) (patch (.f64 #s(literal 2 binary64) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) #<representation binary64>) () ())
#s(alt (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (patch (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) #<representation binary64>) () ())
#s(alt (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())
#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (patch (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))) (patch (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))) #<representation binary64>) () ())
#s(alt (.f64 a (.f64 #s(literal 4 binary64) c)) (patch (.f64 a (.f64 #s(literal 4 binary64) c)) #<representation binary64>) () ())
#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor inf b) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())) ())
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#s(alt (* 4 (* a c)) (taylor inf c) (#s(alt (.f64 a (.f64 #s(literal 4 binary64) c)) (patch (.f64 a (.f64 #s(literal 4 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* a c)) (taylor inf c) (#s(alt (.f64 a (.f64 #s(literal 4 binary64) c)) (patch (.f64 a (.f64 #s(literal 4 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* a c)) (taylor -inf c) (#s(alt (.f64 a (.f64 #s(literal 4 binary64) c)) (patch (.f64 a (.f64 #s(literal 4 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* a c)) (taylor -inf c) (#s(alt (.f64 a (.f64 #s(literal 4 binary64) c)) (patch (.f64 a (.f64 #s(literal 4 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* a c)) (taylor -inf c) (#s(alt (.f64 a (.f64 #s(literal 4 binary64) c)) (patch (.f64 a (.f64 #s(literal 4 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (* 4 (* a c)) (taylor -inf c) (#s(alt (.f64 a (.f64 #s(literal 4 binary64) c)) (patch (.f64 a (.f64 #s(literal 4 binary64) c)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf a) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 c) (/ (pow b 2) a))) (taylor inf a) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf c) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf c) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor 0 b) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (patch (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #<representation binary64>) () ())) ())

Calls

147 calls:

Time	Variable		Point	Expression
7.0ms	a	@	-inf	(/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))
5.0ms	b	@	0	(/ (+ (* b b) (+ (* b b) (* a (* 4 c)))) (* (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (* a -2)))
4.0ms	c	@	0	(/ (+ (* b b) (+ (* b b) (* a (* 4 c)))) (* (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (* a -2)))
2.0ms	c	@	inf	(/ (+ (* b b) (+ (* b b) (* a (* 4 c)))) (* (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (* a -2)))
2.0ms	c	@	0	(/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))

simplify371.0ms (3.2%)

Memory

3.0MiB live, 642.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 724×	`lower-*.f64`
7 724×	`lower-*.f32`
6 542×	`lower-fma.f64`
6 542×	`lower-fma.f32`
4 290×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1395	12357
1	4652	11994
0	8556	11507

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 585

Calls

Call 1

Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
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(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a))
(+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* 1/2 (/ a b))
(* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* a (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
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(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
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(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
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(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
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(* 1/2 (/ a b))
(/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)
(* 1/2 (/ b c))
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
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(* 1/2 (/ a b))
(+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))
(+ (* 1/2 (/ a b)) (* c (- (/ (* (pow a 3) c) (pow b 5)) (* -1/2 (/ (pow a 2) (pow b 3))))))
(+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) a))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 4 (* a c))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(* 4 (* a c))
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))
(* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))
(* 4 (* a c))
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(+ (* 2 (pow b 2)) (* 4 (* a c)))
(* 4 (* a c))
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))
(* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))
(* 4 (* a c))
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4)))))) (* -1/2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1/2 (/ b a))
(* b (- (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))
(* b (- (+ (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4)))) (* 1/2 (/ 1 a))))
(* b (- (+ (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))))) (* 1/2 (/ 1 a))))
(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(* -1 (* (pow b 3) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))))
(* -1 (* (pow b 3) (+ (* 1/2 (/ (+ (* -2 c) (* -1 c)) (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c)))))))
(* -1 (* (pow b 3) (+ (* 1/2 (/ (+ (* -2 c) (* -1 c)) (pow b 4))) (+ (* 1/2 (/ (+ (* -2 (* a (pow c 2))) (+ (* -1 (* a (* c (+ (* -2 c) (* -1 c))))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))))) (pow b 6))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c))))))))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (* -1/2 (* a (- (* 2 (/ c b)) (* -1 (/ c b)))))) a)
(/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (* 2 (/ c b)) (* -1 (/ c b)))) (* 1/2 (* a (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (* 2 (/ c b)) (* -1 (/ c b)))) (* a (+ (* 1/2 (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ (* (pow c 2) (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 4))) (/ (* c (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* 1/2 (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3)))))))))) a)
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2)))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* 1/2 (/ (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c))) a))) a)) (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a))
(* -1/2 (/ b a))
(+ (* -3/2 (/ c b)) (* -1/2 (/ b a)))
(+ (* -1/2 (/ b a)) (* c (- (* 1/2 (* c (+ (* -3 (/ a (pow b 3))) (* -1 (/ a (pow b 3)))))) (* 3/2 (/ 1 b)))))
(+ (* -1/2 (/ b a)) (* c (- (* c (+ (* 1/2 (* c (+ (* -3 (/ (pow a 2) (pow b 5))) (+ (* -2 (/ (pow a 2) (pow b 5))) (/ (* a (+ (* -3 (/ a (pow b 3))) (* -1 (/ a (pow b 3))))) (pow b 2)))))) (* 1/2 (+ (* -3 (/ a (pow b 3))) (* -1 (/ a (pow b 3))))))) (* 3/2 (/ 1 b)))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* -1/2 (/ (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a))) c)) (* 1/2 (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))))))))) c)) (* -1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* 4 (* a c))
(+ (* 4 (* a c)) (pow b 2))
(+ (* 4 (* a c)) (pow b 2))
(+ (* 4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* 4 (* a c)) (pow b 2))
(+ (* 4 (* a c)) (pow b 2))
(+ (* 4 (* a c)) (pow b 2))
(* 4 (* a c))
(* a (+ (* 4 c) (/ (pow b 2) a)))
(* a (+ (* 4 c) (/ (pow b 2) a)))
(* a (+ (* 4 c) (/ (pow b 2) a)))
(* 4 (* a c))
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))
(pow b 2)
(+ (* 4 (* a c)) (pow b 2))
(+ (* 4 (* a c)) (pow b 2))
(+ (* 4 (* a c)) (pow b 2))
(* 4 (* a c))
(* c (+ (* 4 a) (/ (pow b 2) c)))
(* c (+ (* 4 a) (/ (pow b 2) c)))
(* c (+ (* 4 a) (/ (pow b 2) c)))
(* 4 (* a c))
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))

Outputs
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 a (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 c c) (.f64 b (*.f64 b b)))) (/.f64 c (neg.f64 b)))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 c c) (neg.f64 (.f64 b (.f64 b b))))) (/.f64 c (neg.f64 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 20 binary64))) (.f64 a (pow.f64 b #s(literal 6 binary64)))))) b)
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (.f64 b b))) (neg.f64 b))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (.f64 b b)))) (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(.f64 c (fma.f64 a (neg.f64 (/.f64 c (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 c (fma.f64 c (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 c (.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (.f64 b (.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 c (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) (.f64 b a)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (.f64 b (.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(.f64 c (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 c a)) (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 c a)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 c a))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (.f64 a (*.f64 a a))))))) c)) c)))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
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(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
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(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1)))
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(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(+ (* 4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 c a)))
(+ (* 4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 c a)))
(+ (* 4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 c a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* 4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 c a)))
(+ (* 4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 c a)))
(+ (* 4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 c a)))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* a (+ (* 4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal 4 binary64) (/.f64 (.f64 b b) a)))
(* a (+ (* 4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal 4 binary64) (/.f64 (.f64 b b) a)))
(* a (+ (* 4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal 4 binary64) (/.f64 (.f64 b b) a)))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))
(.f64 (neg.f64 a) (-.f64 (.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))
(.f64 (neg.f64 a) (-.f64 (.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))
(.f64 (neg.f64 a) (-.f64 (.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(pow b 2)
(*.f64 b b)
(+ (* 4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 c a)))
(+ (* 4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 c a)))
(+ (* 4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 c a)))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* c (+ (* 4 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal 4 binary64) (/.f64 (.f64 b b) c)))
(* c (+ (* 4 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal 4 binary64) (/.f64 (.f64 b b) c)))
(* c (+ (* 4 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal 4 binary64) (/.f64 (.f64 b b) c)))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))
(.f64 (neg.f64 c) (-.f64 (.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))
(.f64 (neg.f64 c) (-.f64 (.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))
(.f64 (neg.f64 c) (-.f64 (.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
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(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
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(neg.f64 (.f64 a (-.f64 (.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(neg.f64 (.f64 a (-.f64 (.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(neg.f64 (.f64 a (-.f64 (.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -4 (* a c))
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(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (neg.f64 c) (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (neg.f64 c) (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 b b (.f64 #s(literal -4 binary64) (.f64 c a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))

rewrite425.0ms (3.7%)

Memory

-6.8MiB live, 551.8MiB allocated

Rules

5 614×	`lower-fma.f32`
5 608×	`lower-fma.f64`
4 298×	`lower-/.f32`
4 284×	`lower-/.f64`
3 454×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	220
0	67	220
1	252	214
2	1883	210
0	8769	208

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

19 → 853

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal -1/2 binary64) a)
(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
(/.f64 b (neg.f64 a))
(neg.f64 a)
(*.f64 #s(literal 2 binary64) a)
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)))
(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))
(/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
(fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))
(.f64 a (.f64 #s(literal 4 binary64) c))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))

Outputs
(+.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) (.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) b))) #s(literal -1 binary64)))
(-.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 a #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) b) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) b) (.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) b) (.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (neg.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
(fma.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) b) (*.f64 a #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 b (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 a) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (-.f64 (.f64 b (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) a) (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (neg.f64 a)) (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))) (-.f64 (.f64 b (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (neg.f64 a)) (.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal 2 binary64))) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 b (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (/.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) b) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) b))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) b) #s(literal 1/2 binary64)) a)
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) b)))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 b (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 a (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)))) (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64))))) (.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) (.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))))) (.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))) (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b)) (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (neg.f64 (neg.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (*.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (neg.f64 (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (.f64 b (.f64 b (fma.f64 a (.f64 c #s(literal 4 binary64)) (*.f64 b b))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (neg.f64 (.f64 b (.f64 b (.f64 b b))))))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (*.f64 b b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) (.f64 (/.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64))) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (*.f64 b b)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (*.f64 b b)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))) (.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (*.f64 b b)))))))
(pow.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (.f64 b (.f64 b (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)))))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 (.f64 #s(literal -4 binary64) c) (.f64 a (*.f64 b b)))))))
(.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (neg.f64 (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))))
(.f64 (.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))
(.f64 (neg.f64 (.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)))))
(.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (neg.f64 (.f64 b (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b)))))
(.f64 (neg.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)))))))
(.f64 (neg.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (.f64 b (.f64 b (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))))))
(.f64 (/.f64 (.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (fma.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))))
(.f64 (pow.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (.f64 b (.f64 b (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (neg.f64 (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -4 binary64) (.f64 a c)) (.f64 b b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 a (.f64 c #s(literal 4 binary64)) (.f64 b b)) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 (.f64 c (.f64 c c)) (.f64 (.f64 a (.f64 a a)) #s(literal 64 binary64)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)))

eval329.0ms (2.8%)

Memory: 47.1MiB live, 507.3MiB allocated
Compiler: Compiled 70 910 to 5 062 computations (92.9% saved)

prune351.0ms (3%)

Memory

-38.4MiB live, 728.1MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1 972	16	1 988
Fresh	5	6	11
Picked	2	3	5
Done	0	0	0
Total	1 979	25	2 004

Accuracy

93.5%

Counts

2 004 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
	33.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
	11.0%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (.f64 #s(literal 2 binary64) a))
	44.6%	(/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
✓	25.9%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
	32.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
	26.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
	2.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (*.f64 b #s(literal 2 binary64)))))
	31.8%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a))
▶	10.1%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
▶	10.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))))
	26.9%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) b)))
▶	49.5%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
✓	50.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
▶	33.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
	33.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
	31.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
	36.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
✓	34.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	34.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
	34.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
	15.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64))))
	2.3%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
	10.1%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
▶	2.5%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))

Compiler

Compiled 729 to 471 computations (35.4% saved)

simplify258.0ms (2.2%)

Memory

22.2MiB live, 291.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c))
cost-diff	0	#s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))))
cost-diff	640	(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))
cost-diff	0	(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))
cost-diff	0	(-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
cost-diff	0	(*.f64 b #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (*.f64 b #s(literal 1/2 binary64)) c)
cost-diff	0	#s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
cost-diff	0	(/.f64 b a)
cost-diff	0	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
cost-diff	0	(-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
cost-diff	128	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))

Rules

4 144×	`lower-fma.f32`
4 140×	`lower-fma.f64`
2 490×	`lower-*.f32`
2 474×	`lower-*.f64`
1 320×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	346
0	69	346
1	107	346
2	192	346
3	374	346
4	772	346
5	1569	337
6	3333	334
7	5168	334
8	6774	334
0	8275	333

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
(/.f64 b a)
b
a
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
#s(literal 1/2 binary64)
#s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) c)
(*.f64 b #s(literal 1/2 binary64))
b
c
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))
b
(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))
#s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))
(.f64 #s(literal -4 binary64) (.f64 c a))
#s(literal -4 binary64)
(*.f64 c a)
c
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))))
#s(literal 1/2 binary64)
#s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))
(fma.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c))
(/.f64 a (*.f64 b b))
a
(*.f64 b b)
b
(/.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
(neg.f64 b)

Outputs
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) a)
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(+.f64 b (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
b
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
c
(*.f64 b b)
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
(/.f64 b a)
b
a
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
#s(literal 1/2 binary64)
#s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) c)
(*.f64 b #s(literal 1/2 binary64))
b
c
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c)))))) a)
(/.f64 #s(literal -1/2 binary64) a)
#s(literal -1/2 binary64)
a
(-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))
(-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c)))))
b
(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))
(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))
#s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))
#s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c)))
(.f64 #s(literal -4 binary64) (.f64 c a))
(.f64 a (.f64 #s(literal -4 binary64) c))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))))
#s(literal 1/2 binary64)
#s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b)))
#s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c))
(/.f64 a (*.f64 b b))
a
(*.f64 b b)
b
(/.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
(neg.f64 b)

localize168.0ms (1.4%)

Memory

8.6MiB live, 336.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.24567695910492407	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))))
accuracy	6.032019360189848	(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))
accuracy	8.064339411588687	(/.f64 a (*.f64 b b))
accuracy	42.12123094092197	#s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b)))
accuracy	4.782430409355861	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
accuracy	13.93209257837525	(-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))
accuracy	23.627297141822144	(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))
accuracy	40.748997638713945	#s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))
accuracy	0	(/.f64 (*.f64 b #s(literal 1/2 binary64)) c)
accuracy	0	(*.f64 b #s(literal 1/2 binary64))
accuracy	0.24567695910492407	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
accuracy	42.05694212636897	#s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
accuracy	0	(/.f64 b a)
accuracy	40.50627425570112	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
accuracy	0.22286295798472933	(/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
accuracy	4.782430409355861	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
accuracy	13.93209257837525	(-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
accuracy	23.475527499495097	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))

Samples

51.0ms	80×	2	valid
36.0ms	79×	1	valid
29.0ms	88×	0	valid
6.0ms	9×	3	valid

Compiler

Compiled 297 to 36 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-div: 23.0ms (30.4% of total)

ival-mult: 22.0ms (29.1% of total)

adjust: 10.0ms (13.2% of total)

ival-sqrt: 8.0ms (10.6% of total)

ival-add: 7.0ms (9.3% of total)

ival-sub: 4.0ms (5.3% of total)

ival-neg: 1.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series79.0ms (0.7%)

Memory

10.4MiB live, 130.2MiB allocated

Counts

21 → 672

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) a) (patch (/.f64 #s(literal -1/2 binary64) a) #<representation binary64>) () ())
#s(alt (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (patch (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a)) (patch #s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (.f64 b #s(literal 1/2 binary64)) c))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ ( a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))) #<representation binary64>) () ())
#s(alt #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (.f64 b #s(literal 1/2 binary64)) c)) (patch #s(approx (/ a (+ b (sqrt (+ ( a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 b #s(literal 1/2 binary64)) c) (patch (/.f64 (.f64 b #s(literal 1/2 binary64)) c) #<representation binary64>) () ())
#s(alt (.f64 b #s(literal 1/2 binary64)) (patch (.f64 b #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))) #<representation binary64>) () ())
#s(alt (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) (patch (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b)) (patch (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b)))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b)))) #<representation binary64>) () ())
#s(alt #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))) (patch #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (patch (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())
#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))) (patch (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor 0 a) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor 0 a) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor 0 a) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor 0 a) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor inf a) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor inf a) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor inf a) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor inf a) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor -inf a) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor 0 b) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor 0 b) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor 0 b) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor 0 b) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor inf b) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor inf b) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor inf b) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor inf b) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor -inf b) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor -inf b) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor -inf b) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b 2)) (taylor -inf b) (#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())) ())

Calls

168 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	(sqrt (/ 1 (+ (* a (* -4 c)) (* b b))))
3.0ms	c	@	inf	(/ (* b 1/2) c)
1.0ms	a	@	inf	(sqrt (/ 1 (+ (* a (* -4 c)) (* b b))))
1.0ms	c	@	inf	(sqrt (/ 1 (+ (* a (* -4 c)) (* b b))))
1.0ms	a	@	0	(* (+ (* 1/2 (/ a (* b b))) (/ -1/2 c)) (neg b))

simplify452.0ms (3.9%)

Memory

-18.2MiB live, 905.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 822×	`lower-*.f64`
7 822×	`lower-*.f32`
6 312×	`lower-fma.f64`
6 312×	`lower-fma.f32`
4 418×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1279	14528
1	4186	14183
0	8562	13597

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 666

Calls

Call 1

Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(/ b a)
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 1/2 (/ b c))
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))
(* -1/2 (/ a b))
(* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* a (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* -1/2 (/ a b))
(* -1 (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* a (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1/2 (/ a b))
(/ (+ (* -1/2 a) (* 1/2 (/ (pow b 2) c))) b)
(/ (+ (* -1/2 a) (* 1/2 (/ (pow b 2) c))) b)
(/ (+ (* -1/2 a) (* 1/2 (/ (pow b 2) c))) b)
(* 1/2 (/ b c))
(* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* 1/2 (/ b c))
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* 1/2 (/ b c))
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) c)
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) c)
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) c)
(* -1/2 (/ a b))
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))
(* -1/2 (/ a b))
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c)))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a))
(+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (/ a b))
(* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* a (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2))))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c)))
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(* 1/2 (/ a b))
(/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)
(* 1/2 (/ b c))
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
(* -1 (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))))
(* 1/2 (/ a b))
(+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))
(+ (* 1/2 (/ a b)) (* c (- (/ (* (pow a 3) c) (pow b 5)) (* -1/2 (/ (pow a 2) (pow b 3))))))
(+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) a))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(/ -1/2 c)
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(* 1/2 (/ a (pow b 2)))
(* a (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* a (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* a (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c)))))
(* 1/2 (/ a (pow b 2)))
(* -1 (* a (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* a (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* a (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* 1/2 (/ a (pow b 2)))
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) (pow b 2))
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) (pow b 2))
(/ (+ (* -1/2 (/ (pow b 2) c)) (* 1/2 a)) (pow b 2))
(/ -1/2 c)
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(/ -1/2 c)
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(/ -1/2 c)
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) c)
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) c)
(/ (- (* 1/2 (/ (* a c) (pow b 2))) 1/2) c)
(* 1/2 (/ a (pow b 2)))
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(* 1/2 (/ a (pow b 2)))
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/ -1 b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/ -1/4 (* a c))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))

Outputs
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 (.f64 c c)) (.f64 b (*.f64 b b))))) (/.f64 c b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(-.f64 (.f64 a (fma.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b)) (/.f64 (neg.f64 (.f64 c c)) (.f64 b (*.f64 b b))))) (/.f64 c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 b #s(literal -1/2 binary64)) a))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 20 binary64))) (.f64 a (pow.f64 b #s(literal 6 binary64)))))) b)
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (neg.f64 b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (.f64 b b))) (neg.f64 b))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (.f64 b b)))) (neg.f64 b))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(.f64 c (fma.f64 a (neg.f64 (/.f64 c (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 c (fma.f64 c (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 c (.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (.f64 b (.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 c (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) (.f64 b a)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (.f64 b (.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
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b
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(* 2 (/ (* a c) b))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
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b
(+ b (* -2 (/ (* a c) b)))
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(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
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(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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b
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(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
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(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* (sqrt (* a c)) (sqrt -4))
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b
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(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
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(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 c a) (.f64 (.f64 (.f64 c c) (.f64 a a)) #s(literal -12 binary64))) (.f64 (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))) (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 c a) (.f64 b b)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 c c) (*.f64 a a)) #s(literal -12 binary64))) (pow.f64 b #s(literal 4 binary64)))))) b)
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 c a) (.f64 b b)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 c c) (*.f64 a a)) #s(literal -12 binary64))) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 c a) (.f64 (.f64 (.f64 c c) (.f64 a a)) #s(literal -12 binary64))) (.f64 (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))) (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 c a) (.f64 b b)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 c c) (*.f64 a a)) #s(literal -12 binary64))) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 c a) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 a (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 64 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 8 binary64))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 6 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 b b) (.f64 a (*.f64 c c))) (/.f64 #s(literal -1/4 binary64) c)) a)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 c (.f64 c c)) (.f64 a a))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 b b) (.f64 a (.f64 c c))) (/.f64 #s(literal 1/4 binary64) c))) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 a (.f64 a a)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c (.f64 c c)) (.f64 a a))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 b b) (.f64 a (*.f64 c c))) (/.f64 #s(literal 1/4 binary64) c)))) a)
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 b b) (.f64 a (*.f64 c c))) (/.f64 #s(literal 1/4 binary64) c)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 a (.f64 c (.f64 c c)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 b b) (.f64 c c)))) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 a (pow.f64 c #s(literal 4 binary64)))) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 c (.f64 c c))))) (neg.f64 a)) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 b b) (*.f64 c c)))) a)) (neg.f64 a))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(fma.f64 #s(literal 4 binary64) (/.f64 (.f64 c a) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 c (fma.f64 #s(literal 16 binary64) (/.f64 (.f64 c (.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal 64 binary64) (/.f64 (.f64 c (.f64 a (.f64 a a))) (pow.f64 b #s(literal 8 binary64))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 a a) (pow.f64 b #s(literal 6 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 a (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 b b) (.f64 c (*.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 c c) (.f64 a (.f64 a a)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 b b) (.f64 c (.f64 a a))) (/.f64 #s(literal 1/4 binary64) a))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c c) (.f64 a (.f64 a a)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 b b) (.f64 c (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) a)))) c)
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 b b) (.f64 c (*.f64 a a))) (/.f64 #s(literal 1/4 binary64) a)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 c (.f64 a (.f64 a a)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 b b) (.f64 a a)))) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 c (pow.f64 a #s(literal 4 binary64)))) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 a (.f64 a a))))) (neg.f64 c)) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 b b) (*.f64 a a)))) c)) (neg.f64 c))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 b b) (.f64 (.f64 c c) (.f64 a a))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(fma.f64 (.f64 b b) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 b b) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 c c) (.f64 a a)))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(fma.f64 (.f64 b b) (fma.f64 (.f64 b b) (fma.f64 #s(literal -1/256 binary64) (/.f64 (.f64 b b) (.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal -1/64 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))))) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 c c) (.f64 a a)))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 c a)) (.f64 b b)))) (*.f64 b b))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 6 binary64))) #s(literal 64 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64)))) #s(literal -16 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b)))) (.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 c a)) (.f64 b b)))) (*.f64 b b))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 6 binary64))) #s(literal 64 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64)))) #s(literal -16 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b)))) (.f64 b b))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (-.f64 (.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (-.f64 (.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (-.f64 (.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)) (neg.f64 a))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(neg.f64 (.f64 c (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(neg.f64 (.f64 c (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(neg.f64 (.f64 c (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))
(/ a (pow b 2))
(/.f64 a (*.f64 b b))

rewrite385.0ms (3.3%)

Memory

-24.1MiB live, 700.7MiB allocated

Rules

4 602×	`lower-/.f32`
4 584×	`lower-/.f64`
4 440×	`lower-*.f32`
4 436×	`lower-fma.f32`
4 432×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	292
0	69	292
1	235	279
2	1714	279
0	8424	279

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

21 → 659

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 #s(literal -1/2 binary64) a)
(-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
(/.f64 b a)
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
#s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) c)
(*.f64 b #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))
(sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))))
#s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
#s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))
(/.f64 a (*.f64 b b))

Outputs
(+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) (.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(+.f64 (.f64 b (/.f64 #s(literal -1/2 binary64) a)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) a)))
(-.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (/.f64 #s(literal -1/2 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a)
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (.f64 a (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (.f64 (neg.f64 a) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 (neg.f64 a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(/.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #s(literal -1/2 binary64)) (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a))
(/.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #s(literal 1 binary64)) (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #s(literal 1/2 binary64)) (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (neg.f64 a)))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal -1/2 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 1 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 1/2 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (neg.f64 a)))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (neg.f64 a))
(/.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #s(literal 1 binary64)) (.f64 a #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64)) (neg.f64 a))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 a #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))) (neg.f64 a))
(/.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (/.f64 #s(literal -1/2 binary64) a)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) (neg.f64 (.f64 a (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (neg.f64 (.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) (neg.f64 (.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (neg.f64 (.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) (neg.f64 (.f64 (neg.f64 a) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (neg.f64 (.f64 (neg.f64 a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #s(literal -1/2 binary64))) (neg.f64 (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #s(literal 1/2 binary64))) (neg.f64 (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (neg.f64 a))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal -1/2 binary64))) (neg.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) a)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 1/2 binary64))) (neg.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) (neg.f64 a))))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 (neg.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #s(literal 1 binary64))) (neg.f64 (.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (neg.f64 (.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))) (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) (.f64 (/.f64 #s(literal -1/2 binary64) a) b) (-.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) (.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))))
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(.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal -64 binary64) (.f64 c (.f64 c c))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a (.f64 #s(literal -4 binary64) c))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (*.f64 a c))))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (neg.f64 (.f64 b (.f64 b (.f64 b b))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b (neg.f64 b)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal -64 binary64) (.f64 c (.f64 c c))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a (.f64 #s(literal -4 binary64) c))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (*.f64 a c))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (neg.f64 (.f64 b (.f64 b (.f64 b b)))))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b (neg.f64 b)))))
(.f64 (pow.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal -64 binary64) (.f64 c (.f64 c c))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))))) (sqrt.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a (.f64 #s(literal -4 binary64) c))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (*.f64 a c))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (neg.f64 (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b (neg.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(pow.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal -64 binary64) (.f64 c (.f64 c c))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a (.f64 #s(literal -4 binary64) c))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (*.f64 a c)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal -64 binary64) (.f64 c (.f64 c c))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a (.f64 #s(literal -4 binary64) c))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (*.f64 a c))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (neg.f64 (.f64 b (.f64 b (.f64 b b)))))) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b (neg.f64 b))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (neg.f64 (.f64 b (.f64 b (.f64 b b)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b (neg.f64 b)))) #s(literal -1 binary64)))
(exp.f64 (log.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c)))))
(exp.f64 (.f64 (log.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))) #s(literal 1/2 binary64)))
(fabs.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))
(sqrt.f64 (.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c)))))
#s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c)))
(pow.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))) #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c)))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c)))) (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c)))))
(.f64 (neg.f64 (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))) (neg.f64 (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 b b) a)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 b (neg.f64 b))) (/.f64 a (.f64 b (neg.f64 b))))
(neg.f64 (/.f64 a (*.f64 b (neg.f64 b))))
(neg.f64 (/.f64 (neg.f64 a) (*.f64 b b)))
(/.f64 a (*.f64 b b))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b b) a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b b) a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (/.f64 a b))))
(/.f64 (neg.f64 a) (*.f64 b (neg.f64 b)))
(/.f64 (/.f64 a b) b)
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (*.f64 b (neg.f64 b))))
(/.f64 (neg.f64 (/.f64 a b)) (neg.f64 b))
(/.f64 (.f64 a #s(literal 1 binary64)) (.f64 b b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 (*.f64 b (neg.f64 b)))))
(/.f64 (neg.f64 (.f64 a #s(literal 1 binary64))) (.f64 b (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 (/.f64 a b))) (neg.f64 (neg.f64 b)))
(pow.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 b b) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 a b)) #s(literal -1 binary64))
(.f64 a (/.f64 #s(literal 1 binary64) (.f64 b b)))
(.f64 #s(literal 1 binary64) (/.f64 a (.f64 b b)))
(.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (.f64 b (neg.f64 b))))
(*.f64 (/.f64 a b) (/.f64 #s(literal 1 binary64) b))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) a)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a b))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 a (neg.f64 b)))

eval246.0ms (2.1%)

Memory: 32.1MiB live, 451.4MiB allocated
Compiler: Compiled 37 027 to 3 791 computations (89.8% saved)

prune276.0ms (2.4%)

Memory

14.3MiB live, 695.9MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	1 343	11	1 354
Fresh	2	15	17
Picked	2	3	5
Done	0	3	3
Total	1 347	32	1 379

Accuracy

93.5%

Counts

1 379 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
	33.6%	(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
	11.0%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (.f64 #s(literal 2 binary64) a))
▶	44.6%	(/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
✓	25.9%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
▶	32.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
	26.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
	31.8%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a))
✓	10.1%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
	10.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))))
	5.2%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))))
	20.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 #s(approx (+ ( 1/2 (/ a (* b b))) (/ -1/2 c)) (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b b))) (neg.f64 b))))
	8.7%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (exp.f64 (.f64 (log.f64 (/.f64 c (.f64 b #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
	26.9%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) b)))
	32.5%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( a (* -4 c)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))))
✓	50.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
✓	33.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
	5.3%	(exp.f64 (.f64 (log.f64 (.f64 #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) #s(literal 2 binary64))) #s(literal -1 binary64)))
	33.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
▶	31.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
	36.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
✓	34.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	34.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
	34.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
	15.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64))))
	2.0%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a)) (.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
▶	2.3%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
▶	10.1%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
✓	2.5%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
	2.5%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
	2.5%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
	5.2%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))

Compiler

Compiled 903 to 589 computations (34.8% saved)

simplify234.0ms (2%)

Memory

-21.3MiB live, 475.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 a (.f64 c #s(literal 4 binary64)))
cost-diff	0	(/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
cost-diff	704	(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
cost-diff	1024	(/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
cost-diff	0	(fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)
cost-diff	0	(neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c))
cost-diff	0	(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
cost-diff	0	(/.f64 (*.f64 c a) b)
cost-diff	0	(-.f64 b (/.f64 (*.f64 c a) b))
cost-diff	0	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
cost-diff	320	(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
cost-diff	0	(/.f64 c b)
cost-diff	0	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
cost-diff	0	(*.f64 c a)
cost-diff	0	(.f64 #s(literal 4 binary64) (.f64 c a))
cost-diff	0	#s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a)))
cost-diff	0	(/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))

Rules

5 820×	`lower-fma.f32`
5 816×	`lower-fma.f64`
4 860×	`lower-*.f32`
4 842×	`lower-*.f64`
2 568×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	382
0	85	382
1	162	376
2	356	366
3	931	362
4	2375	362
5	5530	362
0	8410	360

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
#s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a)))
(.f64 #s(literal 4 binary64) (.f64 c a))
#s(literal 4 binary64)
(*.f64 c a)
c
a
(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))
(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
b
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
(/.f64 c b)
c
b
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
(-.f64 b (/.f64 (*.f64 c a) b))
b
(/.f64 (*.f64 c a) b)
(*.f64 c a)
c
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)
(neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c))
(fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)
a
(/.f64 (.f64 c c) (.f64 b b))
(*.f64 c c)
c
(*.f64 b b)
b
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
#s(literal 1/2 binary64)
(/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
a
(/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(.f64 a (.f64 c #s(literal 4 binary64)))
(*.f64 c #s(literal 4 binary64))
c
#s(literal 4 binary64)
(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
b
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(*.f64 #s(literal -4 binary64) c)
#s(literal -4 binary64)
(*.f64 b b)

Outputs
(/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
(/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 a c))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
#s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a)))
#s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 a c)))
(.f64 #s(literal 4 binary64) (.f64 c a))
(.f64 #s(literal 4 binary64) (.f64 a c))
#s(literal 4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))
(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))))
b
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 a #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
(/.f64 c b)
c
b
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (-.f64 (/.f64 b a) (/.f64 c b)))
(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
(-.f64 (/.f64 b a) (/.f64 c b))
(-.f64 b (/.f64 (*.f64 c a) b))
(-.f64 b (/.f64 (*.f64 a c) b))
b
(/.f64 (*.f64 c a) b)
(/.f64 (*.f64 a c) b)
(*.f64 c a)
(*.f64 a c)
c
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (.f64 a c) (/.f64 c (.f64 b b)) c) (neg.f64 b)))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)
(/.f64 (fma.f64 (.f64 a c) (/.f64 c (.f64 b b)) c) (neg.f64 b))
(neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c))
(neg.f64 (fma.f64 (.f64 a c) (/.f64 c (.f64 b b)) c))
(fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)
(fma.f64 (.f64 a c) (/.f64 c (.f64 b b)) c)
a
(/.f64 (.f64 c c) (.f64 b b))
(*.f64 c c)
c
(*.f64 b b)
b
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
(/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -4 binary64))))))
#s(literal 1/2 binary64)
(/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 (*.f64 a c) #s(literal -4 binary64)))) b) #s(literal -1/4 binary64)) c)
a
(/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))))))
(.f64 a (.f64 c #s(literal 4 binary64)))
(.f64 #s(literal 4 binary64) (.f64 a c))
(*.f64 c #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) c)
c
#s(literal 4 binary64)
(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))))
b
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) c)
(*.f64 c #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 b b)

localize288.0ms (2.5%)

Memory

26.2MiB live, 525.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	2.12046371422281	(/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
accuracy	13.93209257837525	(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
accuracy	14.075624122766898	(/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
accuracy	23.627297141822147	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
accuracy	0.02734375	(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)
accuracy	1.622333459760855	(fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)
accuracy	17.869189006943298	(/.f64 (.f64 c c) (.f64 b b))
accuracy	40.72508248919203	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
accuracy	0	(*.f64 c a)
accuracy	2.8955325519313986	(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
accuracy	4.713044639407363	(/.f64 (*.f64 c a) b)
accuracy	40.46351318111408	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
accuracy	0	(/.f64 c b)
accuracy	42.248485675767725	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
accuracy	13.849305233413165	(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
accuracy	17.47538495493795	(/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
accuracy	23.627297141822147	(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
accuracy	40.68552297773636	#s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a)))

Samples

78.0ms	79×	2	valid
51.0ms	88×	0	valid
45.0ms	80×	1	valid
8.0ms	9×	3	valid

Compiler

Compiled 360 to 51 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-div: 43.0ms (35.2% of total)

ival-mult: 28.0ms (22.9% of total)

adjust: 24.0ms (19.7% of total)

ival-add: 10.0ms (8.2% of total)

ival-sqrt: 7.0ms (5.7% of total)

ival-sub: 5.0ms (4.1% of total)

ival-neg: 5.0ms (4.1% of total)

exact: 1.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series90.0ms (0.8%)

Memory

10.3MiB live, 208.1MiB allocated

Counts

22 → 732

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (patch #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) (.f64 c a)) (patch (.f64 #s(literal 4 binary64) (.f64 c a)) #<representation binary64>) () ())
#s(alt (.f64 c a) (patch (.f64 c a) #<representation binary64>) () ())
#s(alt #s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b)) (patch #s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b)) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 b (/.f64 (.f64 c a) b)) a) (patch (/.f64 (-.f64 b (/.f64 (.f64 c a) b)) a) #<representation binary64>) () ())
#s(alt #s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (.f64 c a) b)) a)) (patch #s(approx (/ 1/2 (/ a (+ b (sqrt (+ ( a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)) #<representation binary64>) () ())
#s(alt (-.f64 b (/.f64 (.f64 c a) b)) (patch (-.f64 b (/.f64 (.f64 c a) b)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 c a) b) (patch (/.f64 (.f64 c a) b) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) (patch (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) (patch (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) #<representation binary64>) () ())
#s(alt (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (patch (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) #<representation binary64>) () ())
#s(alt (/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (patch (/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (patch (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #<representation binary64>) () ())
#s(alt (.f64 a (.f64 c #s(literal 4 binary64))) (patch (.f64 a (.f64 c #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) (patch (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) #<representation binary64>) () ())
#s(alt (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())
#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())

Outputs
#s(alt (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (* 2 (/ c b)) (* -1 (/ c b)))) (* 1/2 (* a (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (* 2 (/ c b)) (* -1 (/ c b)))) (* a (+ (* 1/2 (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ (* (pow c 2) (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 4))) (/ (* c (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* 1/2 (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3)))))))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))))) a) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2)))))) a) (taylor inf a) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a)) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* 1/2 (/ (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))))))) a))) a))) a)) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c))) a))) a)) (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a)) (taylor -inf a) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ b a)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) (patch (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) (patch (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) (patch (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) (patch (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) (patch (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a (pow c 2)) (pow b 3))) (taylor inf a) (#s(alt (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) (patch (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) (patch (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) (patch (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) (patch (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b) #<representation binary64>) () ())) ())
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#s(alt (/ (pow c 2) (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor inf c) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor inf c) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor inf c) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor inf c) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor -inf c) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor -inf c) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor -inf c) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor -inf c) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor 0 b) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor inf b) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 (.f64 c c) (.f64 b b)) (patch (/.f64 (.f64 c c) (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (- b (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* a c) b)) (taylor inf b) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) (taylor inf b) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) (taylor inf b) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor -inf b) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) (taylor -inf b) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) (taylor -inf b) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (taylor 0 a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (taylor 0 a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (taylor 0 a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -4))) (taylor inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (taylor 0 c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (taylor 0 c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (taylor 0 c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -4))) (taylor inf c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) (taylor inf c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) #<representation binary64>) () ())) ())

Calls

183 calls:

Time	Variable		Point	Expression
21.0ms	b	@	0	(/ (neg (+ (* a (/ (* c c) (* b b))) c)) b)
2.0ms	c	@	-inf	(/ (* a (* c 4)) (- b (sqrt (+ (* a (* -4 c)) (* b b)))))
2.0ms	b	@	0	(/ c b)
1.0ms	c	@	0	(/ a (/ (* a (* c 4)) (- b (sqrt (+ (* a (* -4 c)) (* b b))))))
1.0ms	c	@	inf	(/ (* a (* c 4)) (- b (sqrt (+ (* a (* -4 c)) (* b b)))))

simplify391.0ms (3.4%)

Memory

-13.8MiB live, 634.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 562×	`lower-*.f64`
7 562×	`lower-*.f32`
6 190×	`lower-fma.f64`
6 190×	`lower-fma.f32`
3 392×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1630	13955
1	5496	13460
0	8124	12944

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 721

Calls

Call 1

Inputs
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4)))))) (* -1/2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -1/2 (/ b a))
(* b (- (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))
(* b (- (+ (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4)))) (* 1/2 (/ 1 a))))
(* b (- (+ (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))))) (* 1/2 (/ 1 a))))
(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(* -1 (* (pow b 3) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))))
(* -1 (* (pow b 3) (+ (* 1/2 (/ (+ (* -2 c) (* -1 c)) (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c)))))))
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(* -1/2 (/ b a))
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(/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (* 2 (/ c b)) (* -1 (/ c b)))) (* 1/2 (* a (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
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(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
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(* (sqrt (/ c a)) (sqrt -1))
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(* 2 (pow b 2))
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(* 2 (pow b 2))
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(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))
(* 2 (pow b 2))
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(+ (* 2 (pow b 2)) (* 4 (* a c)))
(* 4 (* a c))
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(* 4 (* a c))
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(* 2 (pow b 2))
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(* 4 (* a c))
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(* 4 (* a c))
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(* 4 (* a c))
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(* 4 (* a c))
(* 4 (* a c))
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(* 4 (* a c))
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(* 4 (* a c))
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(* a c)
(* a c)
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(* a c)
(* a c)
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(/ (+ b (* -1 (/ (* a c) b))) a)
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(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
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(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
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(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
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(/ c b)
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(/ (- (pow b 2) (* a c)) b)
(/ (- (pow b 2) (* a c)) b)
b
(* b (+ 1 (* -1 (/ (* a c) (pow b 2)))))
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b
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b
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b
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c
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c
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c
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c
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(/ b a)
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(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
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(* (sqrt (/ c a)) (sqrt -1))
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(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -4 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* -4 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))))))
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -4 (/ b (pow (sqrt -4) 2))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (* -4 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -4 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* -4 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(+ b (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (/ (+ (* -4 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1 (* a b))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (* a b)) (* -1 (/ (+ (* -4 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 4 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -4 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)))))) (* -4 (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))))))))
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -4 (/ b (pow (sqrt -4) 2))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (* -4 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -4 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* -4 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(+ b (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (/ (+ (* -4 (/ (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (+ (* -4 (/ (+ (* -1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) c)) (* 4 (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -4 (/ b (pow (sqrt -4) 2))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* -4 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* -4 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (* 4 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -2 (/ (* a c) (pow b 2))))))
(* b (+ 2 (+ (* -4 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (+ (* -4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -2 (/ (* a c) (pow b 2)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
(* 4 (* a c))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))

Outputs
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(fma.f64 b (fma.f64 (.f64 b #s(literal -1/2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal 2 binary64) (.f64 a #s(literal -4 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4)))))) (* -1/2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(fma.f64 b (fma.f64 b (.f64 #s(literal -1/2 binary64) (fma.f64 b (-.f64 (/.f64 #s(literal 2 binary64) (.f64 (.f64 a a) (.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))) (/.f64 #s(literal 2 binary64) (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1/2 (/ b a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(* b (- (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))
(.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c #s(literal 3 binary64)) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) a)))
(* b (- (+ (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4)))) (* 1/2 (/ 1 a))))
(.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c #s(literal 3 binary64)) (.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (.f64 a (fma.f64 c (.f64 c #s(literal 3 binary64)) (.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) a))))
(* b (- (+ (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* 2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (* 1/2 (/ (+ (* -1 (* a (* c (- (* 2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))))) (* 1/2 (/ 1 a))))
(.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c #s(literal 3 binary64)) (.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 a a) (.f64 c (.f64 c c))) (fma.f64 (.f64 c a) (neg.f64 (.f64 a (fma.f64 c (.f64 c #s(literal 3 binary64)) (.f64 c c)))) (.f64 (.f64 (.f64 c #s(literal 3 binary64)) (.f64 c c)) (neg.f64 (.f64 a a))))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (neg.f64 (.f64 a (fma.f64 c (.f64 c #s(literal 3 binary64)) (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1/2 (/ (pow b 3) (* (pow a 2) c)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (.f64 b b))) (.f64 c (*.f64 a a)))
(* -1 (* (pow b 3) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b b))) (/.f64 #s(literal 1/2 binary64) (.f64 c (.f64 a a)))) (neg.f64 (.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (+ (* 1/2 (/ (+ (* -2 c) (* -1 c)) (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c)))))))
(.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c #s(literal -3 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b b)))) (/.f64 #s(literal 1/2 binary64) (.f64 c (.f64 a a)))) (neg.f64 (.f64 b (.f64 b b))))
(* -1 (* (pow b 3) (+ (* 1/2 (/ (+ (* -2 c) (* -1 c)) (pow b 4))) (+ (* 1/2 (/ (+ (* -2 (* a (pow c 2))) (+ (* -1 (* a (* c (+ (* -2 c) (* -1 c))))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))))) (pow b 6))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c))))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 c #s(literal -3 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 a (.f64 c c)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 c c))) (neg.f64 (.f64 a (.f64 c (.f64 c #s(literal -3 binary64))))))) (pow.f64 b #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 b b))) (/.f64 #s(literal 1/2 binary64) (.f64 c (.f64 a a))))) (neg.f64 (.f64 b (*.f64 b b))))
(* -1/2 (/ b a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(/ (+ (* -1/2 b) (* -1/2 (* a (- (* 2 (/ c b)) (* -1 (/ c b)))))) a)
(/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 a (.f64 (/.f64 c b) #s(literal 3 binary64)) b)) a)
(/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (* 2 (/ c b)) (* -1 (/ c b)))) (* 1/2 (* a (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(/.f64 (fma.f64 a (fma.f64 (.f64 a #s(literal 1/2 binary64)) (neg.f64 (fma.f64 c (/.f64 (.f64 (/.f64 c b) #s(literal 3 binary64)) (.f64 b b)) (/.f64 (.f64 c c) (.f64 b (.f64 b b))))) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 c b) #s(literal 3 binary64)))) (*.f64 b #s(literal -1/2 binary64))) a)
(/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (* 2 (/ c b)) (* -1 (/ c b)))) (* a (+ (* 1/2 (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ (* (pow c 2) (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 4))) (/ (* c (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* 1/2 (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3)))))))))) a)
(/.f64 (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (fma.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (fma.f64 c (/.f64 (neg.f64 (fma.f64 c (/.f64 (.f64 (/.f64 c b) #s(literal 3 binary64)) (.f64 b b)) (/.f64 (.f64 c c) (.f64 b (.f64 b b))))) (.f64 b b)) (.f64 (.f64 c (neg.f64 c)) (/.f64 (.f64 (/.f64 c b) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 (fma.f64 c (/.f64 (.f64 (/.f64 c b) #s(literal 3 binary64)) (.f64 b b)) (/.f64 (.f64 c c) (.f64 b (.f64 b b))))))) (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 c b) #s(literal 3 binary64)))) (.f64 b #s(literal -1/2 binary64))) a)
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a b)) #s(literal 4 binary64))) a) (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))))) a)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a b)) #s(literal 4 binary64)))) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (.f64 a a)) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a b)) #s(literal 4 binary64)))) a))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2)))))) a)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 b (fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a b)) #s(literal 4 binary64)))) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 (/.f64 a c))) (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 a (.f64 b b)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a b)) #s(literal 4 binary64)))) c))) (.f64 a (.f64 a a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (.f64 b (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a b)) #s(literal 4 binary64)))) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (.f64 a a))) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 a b)) #s(literal 4 binary64)))) a))) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (neg.f64 b))) a) (.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* 1/2 (/ (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))))))) a))) a))) a))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (neg.f64 b))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 a c)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (neg.f64 b))))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) a))) a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c))) a))) a)) (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (neg.f64 b)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 a c)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (neg.f64 b))))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a (.f64 b b)) (fma.f64 (sqrt.f64 (/.f64 a c)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (neg.f64 b))))) c)) a) (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 a c)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (.f64 a (neg.f64 b))))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))))) a)) a))) (neg.f64 a))
(* -1/2 (/ b a))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) a)
(+ (* -3/2 (/ c b)) (* -1/2 (/ b a)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (/.f64 c b) #s(literal -3/2 binary64)))
(+ (* -1/2 (/ b a)) (* c (- (* 1/2 (* c (+ (* -3 (/ a (pow b 3))) (* -1 (/ a (pow b 3)))))) (* 3/2 (/ 1 b)))))
(fma.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) c) (.f64 (/.f64 a (.f64 b (.f64 b b))) #s(literal -4 binary64)) (/.f64 #s(literal -3/2 binary64) b)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1/2 (/ b a)) (* c (- (* c (+ (* 1/2 (* c (+ (* -3 (/ (pow a 2) (pow b 5))) (+ (* -2 (/ (pow a 2) (pow b 5))) (/ (* a (+ (* -3 (/ a (pow b 3))) (* -1 (/ a (pow b 3))))) (pow b 2)))))) (* 1/2 (+ (* -3 (/ a (pow b 3))) (* -1 (/ a (pow b 3))))))) (* 3/2 (/ 1 b)))))
(fma.f64 c (fma.f64 c (.f64 #s(literal 1/2 binary64) (fma.f64 c (fma.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -5 binary64) (/.f64 (.f64 a (.f64 (/.f64 a (.f64 b (.f64 b b))) #s(literal -4 binary64))) (.f64 b b))) (.f64 (/.f64 a (.f64 b (.f64 b b))) #s(literal -4 binary64)))) (/.f64 #s(literal -3/2 binary64) b)) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
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(* -1 (* (sqrt (* a c)) (sqrt -4)))
(neg.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a))))
(- b (* (sqrt (* a c)) (sqrt -4)))
(-.f64 b (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a))))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) (neg.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1 binary64)) (neg.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))))
(* 2 (/ (* a c) b))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) b)
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 a a) (/.f64 (.f64 c c) (.f64 b b)) (*.f64 c a))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 c a (/.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 b b))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) (fma.f64 c a (/.f64 (.f64 (.f64 a a) (.f64 c c)) (.f64 b b))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (*.f64 c c)))) (pow.f64 b #s(literal 4 binary64))))) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(.f64 (neg.f64 b) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 c a) (*.f64 b b)) #s(literal -2 binary64)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) (*.f64 b b))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(.f64 (neg.f64 b) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 6 binary64))) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))))
(* 2 (/ (* a c) b))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) b)
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(.f64 a (.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(.f64 a (fma.f64 a (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 c c) (.f64 b (.f64 b b))))) (/.f64 (*.f64 c #s(literal 2 binary64)) b)))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (.f64 #s(literal 4 binary64) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 c c) (.f64 b (.f64 b b))))) (/.f64 (*.f64 c #s(literal 2 binary64)) b)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(neg.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 a (-.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 a (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(.f64 a (-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/8 binary64) (/.f64 b a)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (+.f64 (/.f64 b (neg.f64 a)) (.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) (neg.f64 a)) (.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (+.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/64 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) a)) (neg.f64 a)) (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a))
(* 2 (/ (* a c) b))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) b)
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(.f64 c (.f64 #s(literal 2 binary64) (fma.f64 (.f64 a a) (/.f64 c (.f64 b (*.f64 b b))) (/.f64 a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(.f64 c (fma.f64 c (fma.f64 #s(literal 4 binary64) (/.f64 (.f64 c (.f64 a (.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b (.f64 b b))))) (*.f64 #s(literal 2 binary64) (/.f64 a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (.f64 #s(literal 4 binary64) (/.f64 (.f64 a (.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 b (.f64 b b))))) (*.f64 #s(literal 2 binary64) (/.f64 a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(neg.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 c (-.f64 (/.f64 b c) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (-.f64 (/.f64 b c) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(.f64 c (-.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (/.f64 b c)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (+.f64 (/.f64 b (neg.f64 c)) (.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) b) (neg.f64 c)) (.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (+.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/64 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) c)) (neg.f64 c)) (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))))

rewrite430.0ms (3.7%)

Memory

5.9MiB live, 524.7MiB allocated

Rules

5 492×	`lower-fma.f32`
5 488×	`lower-fma.f64`
4 916×	`lower-/.f32`
4 898×	`lower-/.f64`
4 284×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	295
0	85	295
1	342	279
2	2596	279
0	9213	277

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

22 → 679

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
#s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a)))
(.f64 #s(literal 4 binary64) (.f64 c a))
(*.f64 c a)
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
(/.f64 c b)
(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
(-.f64 b (/.f64 (*.f64 c a) b))
(/.f64 (*.f64 c a) b)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)
(neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c))
(fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)
(/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
(/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))
(.f64 a (.f64 c #s(literal 4 binary64)))
(sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))
(+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))
(/.f64 (.f64 c c) (.f64 b b))
(-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (/.f64 (.f64 a #s(literal -2 binary64)) #s(approx (+ ( b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 a (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) #s(literal 2 binary64))) (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c))) (.f64 (.f64 a (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c))) (.f64 (.f64 a (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))))
(/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
(/.f64 (neg.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (.f64 a (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (/.f64 (.f64 a #s(literal -2 binary64)) #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (/.f64 (.f64 a #s(literal -2 binary64)) #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) (/.f64 #s(approx (+ ( b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (/.f64 (.f64 a #s(literal -2 binary64)) #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (/.f64 (.f64 a #s(literal -2 binary64)) #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (/.f64 (.f64 a #s(literal -2 binary64)) #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (/.f64 #s(approx (+ ( b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))))))
(/.f64 (/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c))))) (neg.f64 (.f64 (.f64 a (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 3 binary64)) (neg.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) (fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (-.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (.f64 (neg.f64 (neg.f64 b)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))))))
(pow.f64 (/.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (-.f64 (.f64 b (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (-.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))))
(.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))
(.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (fma.f64 b (.f64 b b) (.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) (-.f64 (fma.f64 b b (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (-.f64 (.f64 b b) (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))

eval649.0ms (5.6%)

Memory: -240.9MiB live, 292.3MiB allocated
Compiler: Compiled 42 617 to 4 272 computations (90% saved)

prune346.0ms (3%)

Memory

16.7MiB live, 368.7MiB allocated

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	1 485	13	1 498
Fresh	4	17	21
Picked	3	2	5
Done	1	5	6
Total	1 493	37	1 530

Accuracy

93.6%

Counts

1 530 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.6%	(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
	11.0%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (.f64 #s(literal 2 binary64) a))
✓	44.6%	(/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
✓	25.9%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
	26.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
	31.8%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a))
	10.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))))
	5.2%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))))
	20.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 #s(approx (+ ( 1/2 (/ a (* b b))) (/ -1/2 c)) (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b b))) (neg.f64 b))))
	8.7%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (exp.f64 (.f64 (log.f64 (/.f64 c (.f64 b #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
	44.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #s(approx (+ ( b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c))))
	26.9%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) b)))
	32.5%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( a (* -4 c)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))))
✓	50.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
✓	33.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
	32.7%	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (.f64 #s(literal 4 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
	34.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (.f64 a c) (/.f64 c (.f64 b b)) c) (neg.f64 b)))
	36.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 c b) a) c)) b))
	36.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
✓	34.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	34.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
	34.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (.f64 (fma.f64 (.f64 a c) (/.f64 c (*.f64 b b)) c) (/.f64 #s(literal 1 binary64) (neg.f64 b))))
	34.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
	15.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64))))
	2.2%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 a b) b) a))
	2.0%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a)) (.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
	32.9%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 a c) b)) (neg.f64 a)))
	26.9%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(approx (- b (/ (* c a) b)) (/.f64 (*.f64 c (neg.f64 a)) b)) a))
✓	10.1%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
✓	2.5%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
	10.1%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
	2.5%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
	2.1%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (-.f64 (/.f64 b a) (/.f64 (.f64 a c) (.f64 a b))))
	10.1%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
	2.5%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
	5.3%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))))
	5.2%	#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))

Compiler

Compiled 1 311 to 564 computations (57% saved)

regimes109.0ms (0.9%)

Memory

-9.8MiB live, 106.7MiB allocated

Counts

57 → 3

Calls

Call 1

Inputs
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (*.f64 b #s(literal 2 binary64)))))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(approx (- b (/ (* c a) b)) (/.f64 (*.f64 c (neg.f64 a)) b)) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 a b) b) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 a c) b)) (neg.f64 a)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (-.f64 (/.f64 b a) (/.f64 (.f64 a c) (.f64 a b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a)) (.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 #s(approx (+ ( 1/2 (/ a (* b b))) (/ -1/2 c)) (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b b))) (neg.f64 b))))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (.f64 a c) (/.f64 c (.f64 b b)) c) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (.f64 (fma.f64 (.f64 a c) (/.f64 c (*.f64 b b)) c) (/.f64 #s(literal 1 binary64) (neg.f64 b))))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 c b) a) c)) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ ( a (* -4 c)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))) a))
(/.f64 #s(approx (+ (* b b) (+ (* b b) (* a (* 4 c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 a #s(literal -2 binary64)))) #s(approx (+ ( b b) (+ (* b b) (* a (* 4 c)))) (.f64 a (.f64 #s(literal 4 binary64) c))))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) a) (/.f64 (.f64 #s(literal 4 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))))))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))))))
(/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
(.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))))) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (exp.f64 (.f64 (log.f64 (/.f64 c (.f64 b #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 (*.f64 b b) a)) #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) c)) (neg.f64 b))))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 c b) a) c)) b))

Calls

4 calls:

39.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
28.0ms	b
16.0ms	c
16.0ms	a

Results

Accuracy	Segments	Branch
56.0%	4	`a`
88.1%	3	`b`
53.5%	3	`c`
77.1%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes12.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

35 → 3

Calls

Call 1

Inputs
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (*.f64 b #s(literal 2 binary64)))))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(approx (- b (/ (* c a) b)) (/.f64 (*.f64 c (neg.f64 a)) b)) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 a b) b) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 a c) b)) (neg.f64 a)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (-.f64 (/.f64 b a) (/.f64 (.f64 a c) (.f64 a b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a)) (.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 #s(approx (+ ( 1/2 (/ a (* b b))) (/ -1/2 c)) (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b b))) (neg.f64 b))))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (.f64 a c) (/.f64 c (.f64 b b)) c) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (.f64 (fma.f64 (.f64 a c) (/.f64 c (*.f64 b b)) c) (/.f64 #s(literal 1 binary64) (neg.f64 b))))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 c b) a) c)) b))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))

(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 c b) a) c)) b))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
88.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Memory

-19.9MiB live, 19.3MiB allocated

Counts

34 → 3

Calls

Call 1

Inputs
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (*.f64 b #s(literal 2 binary64)))))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(approx (- b (/ (* c a) b)) (/.f64 (*.f64 c (neg.f64 a)) b)) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 a b) b) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 a c) b)) (neg.f64 a)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (-.f64 (/.f64 b a) (/.f64 (.f64 a c) (.f64 a b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a)) (.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 #s(approx (+ ( 1/2 (/ a (* b b))) (/ -1/2 c)) (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b b))) (neg.f64 b))))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (.f64 a c) (/.f64 c (.f64 b b)) c) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (.f64 (fma.f64 (.f64 a c) (/.f64 c (*.f64 b b)) c) (/.f64 #s(literal 1 binary64) (neg.f64 b))))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))

(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -4 binary64) c) (*.f64 b b)))))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
88.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

32 → 3

Calls

Call 1

Inputs
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (*.f64 b #s(literal 2 binary64)))))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(approx (- b (/ (* c a) b)) (/.f64 (*.f64 c (neg.f64 a)) b)) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 a b) b) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 a c) b)) (neg.f64 a)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (-.f64 (/.f64 b a) (/.f64 (.f64 a c) (.f64 a b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a)) (.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 #s(approx (+ ( 1/2 (/ a (* b b))) (/ -1/2 c)) (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b b))) (neg.f64 b))))
(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (.f64 a c) (/.f64 c (.f64 b b)) c) (neg.f64 b)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (.f64 (fma.f64 (.f64 a c) (/.f64 c (*.f64 b b)) c) (/.f64 #s(literal 1 binary64) (neg.f64 b))))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))

(/.f64 (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 a (*.f64 #s(literal -4 binary64) c))))) (*.f64 a #s(literal -2 binary64)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
84.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (*.f64 b #s(literal 2 binary64)))))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(approx (- b (/ (* c a) b)) (/.f64 (*.f64 c (neg.f64 a)) b)) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 a b) b) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 a c) b)) (neg.f64 a)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (-.f64 (/.f64 b a) (/.f64 (.f64 a c) (.f64 a b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a)) (.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (.f64 #s(approx (+ ( 1/2 (/ a (* b b))) (/ -1/2 c)) (/.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 b b))) (neg.f64 b))))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))

(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
84.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes25.0ms (0.2%)

Memory

-1.6MiB live, 37.4MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 a b)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b))))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (+ b (sqrt (+ (* a (* -4 c)) (* b b)))) (*.f64 b #s(literal 2 binary64)))))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 #s(approx (- b (/ (* c a) b)) (/.f64 (*.f64 c (neg.f64 a)) b)) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 a b) b) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 b (/.f64 (*.f64 a c) b)) (neg.f64 a)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (-.f64 (/.f64 b a) (/.f64 (.f64 a c) (.f64 a b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a)) (.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))
(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) b)))
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))

Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))

Calls

2 calls:

16.0ms	b
7.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
51.7%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
68.1%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

-12.8MiB live, 26.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))

#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))

Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))

Calls

4 calls:

3.0ms	a
2.0ms	c
2.0ms	b
2.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
34.3%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
34.3%	1	`c`
34.3%	1	`a`
41.6%	2	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))

Outputs
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))

Calls

4 calls:

2.0ms	b
2.0ms	a
2.0ms	c
1.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
10.1%	1	`c`
10.1%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
10.1%	1	`a`
10.1%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes11.0ms (0.1%)

Memory

-44.4MiB live, 9.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))

Outputs
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))

Calls

4 calls:

7.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
1.0ms	c
1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
2.5%	1	`a`
2.5%	1	`c`
2.5%	1	`b`
2.5%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch63.0ms (0.5%)

Memory

21.6MiB live, 59.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	2.9325536436640626e-88	3.6859708019158666e-84
18.0ms	-2.6616864843744614e+170	-1.0784074832901384e+158

Samples

19.0ms	251×	0	valid
4.0ms	30×	1	valid
3.0ms	37×	0	invalid
1.0ms	7×	2	valid

Compiler

Compiled 635 to 422 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (39% of total)

ival-div: 2.0ms (11.1% of total)

ival-sub: 2.0ms (11.1% of total)

ival-sqrt: 2.0ms (11.1% of total)

ival-add: 2.0ms (11.1% of total)

adjust: 1.0ms (5.6% of total)

ival-neg: 1.0ms (5.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9325536436640626e-88	3.6859708019158666e-84
1.0ms	-2.6616864843744614e+170	-1.0784074832901384e+158

Compiler

Compiled 599 to 386 computations (35.6% saved)

bsearch2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9325536436640626e-88	3.6859708019158666e-84
1.0ms	-2.6616864843744614e+170	-1.0784074832901384e+158

Compiler

Compiled 527 to 362 computations (31.3% saved)

bsearch43.0ms (0.4%)

Memory

4.1MiB live, 41.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9325536436640626e-88	3.6859708019158666e-84
40.0ms	-1.732734666056673e-44	-1.2585688746581524e-47

Samples

32.0ms	128×	0	valid
2.0ms	26×	0	invalid

Compiler

Compiled 495 to 332 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (39.1% of total)

ival-div: 1.0ms (13% of total)

ival-add: 1.0ms (13% of total)

ival-sub: 1.0ms (13% of total)

ival-sqrt: 1.0ms (13% of total)

ival-neg: 1.0ms (13% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory

-33.3MiB live, 3.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9325536436640626e-88	3.6859708019158666e-84
1.0ms	-1.732734666056673e-44	-1.2585688746581524e-47

Compiler

Compiled 495 to 332 computations (32.9% saved)

bsearch32.0ms (0.3%)

Memory

14.9MiB live, 56.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-3.0026630620214798e-298	3.0883138947905796e-307

Samples

15.0ms	160×	0	valid
6.0ms	77×	0	invalid

Compiler

Compiled 203 to 140 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 8.0ms (53.9% of total)

ival-div: 1.0ms (6.7% of total)

ival-add: 1.0ms (6.7% of total)

ival-sub: 1.0ms (6.7% of total)

ival-sqrt: 1.0ms (6.7% of total)

ival-neg: 1.0ms (6.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory

27.5MiB live, 67.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	6.234129814812778e+39	1.2571067459692305e+47

Samples

13.0ms	48×	2	valid
6.0ms	46×	1	valid
3.0ms	45×	0	valid
1.0ms	5×	3	valid
1.0ms	11×	0	invalid

Compiler

Compiled 176 to 119 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sub: 6.0ms (31.7% of total)

ival-mult: 4.0ms (21.2% of total)

adjust: 3.0ms (15.9% of total)

ival-div: 2.0ms (10.6% of total)

ival-sqrt: 2.0ms (10.6% of total)

ival-add: 1.0ms (5.3% of total)

ival-neg: 1.0ms (5.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

simplify17.0ms (0.1%)

Memory

-7.5MiB live, 29.0MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative_binary64`
36×	`+-commutative_binary64`
34×	`sub-neg_binary64`
26×	`neg-sub0_binary64`
26×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	517
1	126	516
2	166	516
3	189	516
4	201	516
5	203	516

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -110000000000000005790966246220992297248118562051644185144409271831303749702350051958842788191996670089477184650233386771850014366419741039020990513998284718080 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 c b) a) c)) b))))
(if (<=.f64 b #s(literal -110000000000000005790966246220992297248118562051644185144409271831303749702350051958842788191996670089477184650233386771850014366419741039020990513998284718080 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 c b) a) c)) b))))
(if (<=.f64 b #s(literal -110000000000000005790966246220992297248118562051644185144409271831303749702350051958842788191996670089477184650233386771850014366419741039020990513998284718080 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))) (.f64 a #s(literal -2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal 2428827039687727/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal 8200000000000000079854928564094922391552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))

Outputs
(if (<=.f64 b #s(literal -110000000000000005790966246220992297248118562051644185144409271831303749702350051958842788191996670089477184650233386771850014366419741039020990513998284718080 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 c b) a) c)) b))))
(if (<=.f64 b #s(literal -110000000000000005790966246220992297248118562051644185144409271831303749702350051958842788191996670089477184650233386771850014366419741039020990513998284718080 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 b a))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal 4 binary64) a)))) b) (.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) (*.f64 a (/.f64 c b)) c) (neg.f64 b)))))
(if (<=.f64 b #s(literal -110000000000000005790966246220992297248118562051644185144409271831303749702350051958842788191996670089477184650233386771850014366419741039020990513998284718080 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 c b) a) c)) b))))
(if (<=.f64 b #s(literal -110000000000000005790966246220992297248118562051644185144409271831303749702350051958842788191996670089477184650233386771850014366419741039020990513998284718080 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 b a))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) (*.f64 a (/.f64 c b)) c) (neg.f64 b)))))
(if (<=.f64 b #s(literal -110000000000000005790966246220992297248118562051644185144409271831303749702350051958842788191996670089477184650233386771850014366419741039020990513998284718080 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -110000000000000005790966246220992297248118562051644185144409271831303749702350051958842788191996670089477184650233386771850014366419741039020990513998284718080 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 b a))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 a (.f64 #s(literal -4 binary64) c))))) (.f64 a #s(literal -2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (neg.f64 (/.f64 b a)))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (/.f64 (-.f64 b (sqrt.f64 #s(approx (+ ( a (* -4 c)) (* b b)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -8484632873687469/51422017416287688817342786954917203280710495801049370729644032 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (neg.f64 (/.f64 b a)))) (if (<=.f64 b #s(literal 8679010875938991/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* a (* -4 c)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal 2428827039687727/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal 2428827039687727/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal 8200000000000000079854928564094922391552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b)))
(if (<=.f64 b #s(literal 8200000000000000079854928564094922391552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 b a))) #s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b)))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 c b))
#s(approx (/ 1/2 (/ a (+ b (sqrt (+ (* a (* -4 c)) (* b b)))))) (/.f64 b a))

soundness858.0ms (7.4%)

Memory

-8.4MiB live, 797.6MiB allocated

Rules

11 458×	`lower-fma.f64`
11 458×	`lower-fma.f32`
7 766×	`lower-*.f64`
7 766×	`lower-*.f32`
7 724×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	292
0	69	292
1	235	279
2	1714	279
0	8424	279
0	14	51
0	23	51
1	76	49
2	536	48
3	6864	48
0	8158	44
0	545	3273
1	1738	3232
2	6083	3204
0	8243	3047
0	57	295
0	85	295
1	342	279
2	2596	279
0	9213	277
0	1395	12357
1	4652	11994
0	8556	11507

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 467 to 216 computations (53.7% saved)

preprocess110.0ms (0.9%)

Memory: 12.5MiB live, 131.3MiB allocated
Compiler: Compiled 594 to 198 computations (66.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze148.0ms (1.3%)

sample2.0s (17.2%)

explain175.0ms (1.5%)

preprocess142.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify125.0ms (1.1%)

localize91.0ms (0.8%)

series26.0ms (0.2%)

simplify426.0ms (3.7%)

rewrite591.0ms (5.1%)

eval86.0ms (0.7%)

prune137.0ms (1.2%)

simplify271.0ms (2.3%)

localize188.0ms (1.6%)

series82.0ms (0.7%)

simplify371.0ms (3.2%)

rewrite425.0ms (3.7%)

eval329.0ms (2.8%)

prune351.0ms (3%)

simplify258.0ms (2.2%)

localize168.0ms (1.4%)

series79.0ms (0.7%)

simplify452.0ms (3.9%)

rewrite385.0ms (3.3%)

eval246.0ms (2.1%)

prune276.0ms (2.4%)

simplify234.0ms (2%)

localize288.0ms (2.5%)

series90.0ms (0.8%)

simplify391.0ms (3.4%)

rewrite430.0ms (3.7%)

eval649.0ms (5.6%)

prune346.0ms (3%)

regimes109.0ms (0.9%)

regimes12.0ms (0.1%)

regimes23.0ms (0.2%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes25.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch63.0ms (0.5%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch43.0ms (0.4%)

bsearch4.0ms (0%)

bsearch32.0ms (0.3%)

bsearch33.0ms (0.3%)

simplify17.0ms (0.1%)

soundness858.0ms (7.4%)

preprocess110.0ms (0.9%)

end0.0ms (0%)

Profiling